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198881364 = 223113743947
BaseRepresentation
bin10111101101010…
…11000001010100
3111212020012221110
423312223001110
5401403200424
631422415020
74633315023
oct1366530124
9455205843
10198881364
11a2299570
1256731470
13322850a6
141c5b08ba
15126d7c29
hexbdab054

198881364 has 96 divisors (see below), whose sum is σ = 532578816. Its totient is φ = 57214080.

The previous prime is 198881359. The next prime is 198881369. The reversal of 198881364 is 463188891.

198881364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198881359) and next prime (198881369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198881369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209539 + ... + 210485.

It is an arithmetic number, because the mean of its divisors is an integer number (5547696).

Almost surely, 2198881364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198881364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266289408).

198881364 is an abundant number, since it is smaller than the sum of its proper divisors (333697452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198881364 is a wasteful number, since it uses less digits than its factorization.

198881364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 198881364 is about 14102.5304112418. The cubic root of 198881364 is about 583.7112047118.

The spelling of 198881364 in words is "one hundred ninety-eight million, eight hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 43 44 66 74 86 111 129 132 148 172 222 258 407 444 473 516 814 946 947 1221 1419 1591 1628 1892 1894 2442 2838 2841 3182 3788 4773 4884 5676 5682 6364 9546 10417 11364 17501 19092 20834 31251 35002 35039 40721 41668 52503 62502 70004 70078 81442 105006 105117 122163 125004 140156 162884 210012 210234 244326 385429 420468 447931 488652 770858 895862 1156287 1343793 1506677 1541716 1791724 2312574 2687586 3013354 4520031 4625148 5375172 6026708 9040062 16573447 18080124 33146894 49720341 66293788 99440682 198881364